A scheduled payment of $$5,500$ due in one year is to be replaced with two payments: the first due in $9$ months and the second due in $20$ months. Calculate the size of the two payments if the second payment is to be twice as large as the first payment, and money can earn $9\%$ compounded monthly.

First payment:

$$0\mathrm{.}00$

Second payment:

$$0\mathrm{.}00$